GCD of 477, 966, 363, 249 Calculator

Given Input numbers are 477, 966, 363, 249

In the factoring method, we have to find the divisors of all numbers

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (477, 966, 363, 249) = 3.

Given numbers are 477, 966, 363, 249

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 363 are 3 x 11 x 11

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 477, 966, 363, 249 is 3.

Given numbers are 477, 966, 363, 249

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(477, 966) = 153594

GCD(477, 966) = ( 477 x 966 ) / 153594

= 477 / 966

= 477

Step2:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

Step3:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

So, Greatest Common Divisor of 477, 966, 363, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 660, 179, 343
• GCD of 866, 834, 738, 788
• GCD of 935, 808, 343, 857
• GCD of 556, 497, 395, 154
• GCD of 553, 763, 180, 632

Given numbers are 477, 966, 363, 249
The greatest common divisor of numbers 477, 966, 363, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 966, 363, 249 is 3.

1. What is the GCD of 477, 966, 363, 249?

GCD of given numbers 477, 966, 363, 249 is 3

2. How to calculate the greatest common divisor of 477, 966, 363, 249?

We can find the highest common divisor of 477, 966, 363, 249 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 477, 966, 363, 249 i.e 3.

3. How can I use the GCD of 477, 966, 363, 249Calculator?

Out the numbers 477, 966, 363, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.